You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho : μ = 59.1 H₂:59.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 83 with a mean of M = 61.2 and a standard deviation of SD = 11.5. What is the critical value for this test? (Round to three decimal places.) Critical value = + What is the test statistic for this sample? (Round to three decimal places.) Test statistic =

You wish to test the following claim (Ha) at a significance level of a = 0.05. H.:µ = 64.3 Ha:µ + 64.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n M 27 with a mean of 63 and a standard deviation of SD = 5.5. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=20.5σ=20.5. You would like to be 99% confident that your estimate is within 2 of the true population mean. How large of a sample size is required?

You wish to test the following claim (Ha) at a significance level of α=0.005      Ho:μ=62.4      Ha:μ≠62.4You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=11 with mean M=47.6 and a standard deviation of SD=19.7What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This p-value leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 62.4. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 62.4. The sample data support the claim that the population mean is not equal to 62.4. There is not sufficient sample evidence to support the claim that the population mean is not equal to…

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You wish to test the following claim (H) at a significance level of a = 0.005. H₂:1 = μ₂ Ha: M1 M₂ You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n₁ = 20 with a mean of ₁ = 60.9 and a standard deviation of SD₁ = 6.2 from the first population. You obtain a sample of size n₂ = 15 with a mean of 2 = 76.9 and a standard deviation of SD2 = 18.6 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a Ogreater than a

You wish to test the following claim (H.) at a significance level of a 0.05. 62.8 Ha:µ + 62.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 17 with a mean of a 57.4 and a standard deviation of s = 9.3. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = ± What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic %3D The test statistic is... O in the critical region not in the critical region This test statistic leads to a decision to... reject the null hypothesis accept the null hypothesis O fail to reject the null hypothesis As such, the final conclusion is that... O There is enough evidence to show that the population mean is not different from 62.8. There is not enough evidence to show that the population mean is not different from 62.8. There is enough evidence to show that the population mean…

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=58.3σ=58.3. You would like to be 95% confident that your estimate is within 2 of the true population mean. How large of a sample size is required? Round up to nearest whole number.

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=68.5σ=68.5. You would like to be 90% confident that your estimate is within 4 of the true population mean. How large of a sample size is required?n =

The time to complete an exam is approximately Normal with a mean = 53 minutes and a standard deviation 3 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. 1. Fill in the indicated boxes. μ-30 μ-20 P-o = 53 σ = 3 μ u+o μ+2σ μ+30 2. Used the Empirical Rule to complete the following statements: